42117893322624
42,117,893,322,624 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42117893322624 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2048 divisors.
42117893322624 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 42117893322624:
27 × 33 × 7 × 29 × 37 × 61 × 67 × 397
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 29 × 37 × 61 × 67 × 397)See below for interesting mathematical facts about the number 42117893322624 from the Numbermatics database.
Names of 42117893322624
- Cardinal: 42117893322624 can be written as Forty-two trillion, one hundred seventeen billion, eight hundred ninety-three million, three hundred twenty-two thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 4.2117893322624 × 1013
Factors of 42117893322624
Divisors of 42117893322624
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 32 36 37 42 48 54 56 58 61 63 64 67 72 74 84 87 96 108 111 112 116 122 126 128 134 144 148 168 174 183 189 192 201 203 216 222 224 232 244 252 259 261 268 288 296 333 336 348 366 378 384 397 402 406 427 432 444 448 464 469 488 504 518 522 536 549 576 592 603 609 666 672 696 732 756 777 783 794 804 812 854 864 888 896 928 938 976 999 1008 1036 1044 1072 1073 1098 1152 1184 1191 1206 1218 1281 1332 1344 1392 1407 1464 1512 1554 1566 1588 1608 1624 1647 1708 1728 1769 1776 1809 1827 1856 1876 1943 1952 1998 2016 2072 2088 2144 2146 2196 2257 2331 2368 2382 2412 2436 2479 2562 2664 2688 2779 2784 2814 2928 3024 3108 3132 3176 3216 3219 3248 3294 3416 3456 3538 3552 3573 3618 3654 3712 3752 3843 3886 3904 3996 4032 4087 4144 4176 4221 4288 4292 4392 4514 4662 4736 4764 4824 4872 4958 5124 5307 5328 5481 5558 5568 5628 5829 5856 6048 6216 6264 6352 6432 6438 6496 6588 6771 6832 6993 7076 7104 7146 7236 7308 7437 7504 7511 7686 7772 7808 7992 8064 8174 8288 8337 8352 8442 8576 8584 8784 9028 9324 9528 9648 9657 9744 9916 10248 10614 10656 10719 10962 11116 11136 11256 11513 11529 11658 11712 12096 12261 12383 12432 12528 12663 12704 12864 12876 12992 13176 13542 13601 13664 13986 14152 14208 14292 14472 14616 14689 14874 15008 15022 15372 15544 15799 15921 15984 16348 16576 16674 16704 16884 17168 17353 17487 17568 18056 18648 19056 19296 19314 19488 19832 20313 20496 21228 21312 21438 21924 22232 22311 22512 22533 23026 23058 23316 23424 24192 24217 24522 24766 24864 25011 25056 25326 25408 25728 25752 25984 26352 26599 27084 27202 27328 27972 28304 28584 28609 28944 28971 29232 29378 29748 30016 30044 30744 31088 31598 31842 31968 32696 33152 33348 33408 33768 34336 34539 34706 34974 35136 36112 36783 37149 37296 38112 38592 38628 38976 39664 40626 40803 40992 42456 42624 42876 43848 44067 44464 44622 45024 45066 46052 46116 46632 47397 47763 48434 49044 49532 49728 50022 50112 50652 50816 51504 52059 52461 52704 53198 54168 54404 54656 55944 56608 57168 57218 57888 57942 58464 58756 59496 60032 60088 60939 61488 62176 63196 63684 63936 65392 65453 66696 66933 67536 67599 68672 69078 69412 69948 70272 71891 72224 72651 73566 74298 74592 75033 76224 77184 77256 77952 79328 79797 80591 81252 81606 81984 84912 85752 85827 87696 88134 88928 89244 90048 90132 92104 92232 93264 94794 95526 96868 98088 99064 99456 100044 100224 101304 102823 103008 103617 104118 104922 105408 106396 108336 108808 110349 111447 111888 113216 114336 114436 115776 115884 116928 117512 118523 118992 120176 121878 122409 122976 124352 126392 127368 127872 130784 130906 132201 133392 133866 135072 135198 137344 138156 138824 139896 142191 143782 144448 145302 147132 148596 149184 150066 151219 152448 154512 156177 158656 159594 161182 162504 163212 163968 169519 169824 171504 171654 175392 176268 177856 178488 180096 180264 184208 184464 186193 186528 189588 191052 193736 196176 196359 198128 200088 202608 202797 205646 206016 207234 208236 209844 210816 212792 215673 216672 217616 217953 220698 222894 223776 226432 228672 228872 231552 231768 233856 235024 237046 237984 239391 240352 241773 243756 244818 245952 248704 252784 254736 257481 261568 261812 264402 266784 267732 270144 270396 276312 277648 279792 284382 287564 288896 290604 294264 297192 298368 300132 302438 308469 309024 310851 312354 317312 319188 322364 325008 326424 334341 339038 339648 343008 343308 350784 352536 355569 355712 356976 360528 367227 368416 368928 372386 373056 379176 382104 387472 392352 392718 396256 396603 400176 405216 405594 411292 412032 414468 416472 419688 425584 425981 426573 431346 433344 435232 435906 441396 445788 447552 453657 457344 457744 458171 463536 468531 470048 474092 475968 478782 480704 483546 487512 489636 491904 503237 505568 508557 509472 514962 523136 523624 528804 533568 535464 540288 540792 552624 555296 558579 559584 568764 575128 581208 588528 589077 594384 600264 604876 616938 618048 621702 624708 638376 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83567248656 86307158448 89803610496 90771321816 94013154738 94860120096 97495123432 98636752512 103738653504 104770878912 106090411392 109682013861 111422998208 115076211264 121028429088 125350872984 126480160128 142290180144 146242685148 157156318368 161371238784 162617348736 167134497312 172614316896 181542643632 188026309476 189720240192 194990246864 207477307008 209541757824 219364027722 222845996416 230152422528 242056858176 250701745968 284580360288 292485370296 314312636736 329046041583 334268994624 345228633792 363085287264 376052618952 379440480384 389980493728 438728055444 484113716352 501403491936 569160720576 584970740592 628625273472 658092083166 668537989248 690457267584 726170574528 752105237904 779960987456 877456110888 1002806983872 1138321441152 1169941481184 1316184166332 1452341149056 1504210475808 1559921974912 1754912221776 2005613967744 2339882962368 2632368332664 3008420951616 3509824443552 4679765924736 5264736665328 6016841903232 7019648887104 10529473330656 14039297774208 21058946661312 42117893322624
- Sum of all divisors σ(n): 156091295232000
- Sum of proper divisors (its aliquot sum) s(n): 113973401909376
- 42117893322624 is an abundant number, because the sum of its proper divisors (113973401909376) is greater than itself. Its abundance is 71855508586752
Bases of 42117893322624
- Binary: 10011001001110010101100001000111110111100000002
- Hexadecimal: 0x264E5611F780
- Base-36: EXGOY8DC0
Squares and roots of 42117893322624
- 42117893322624 squared (421178933226242) is 1773916937935935326550245376
- 42117893322624 cubed (421178933226243) is 74713644355181543123206492663059132186624
-
The
square root of 42117893322624 is 6489829.9918121121 -
The
cube root of 42117893322624 is 34792.7599007069
Scales and comparisons
How big is 42117893322624?- 42,117,893,322,624 seconds is equal to 1,339,218 years, 37 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 42,117,893,322,624 would take you about three million, three hundred forty-eight thousand and forty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 42117893322624 cubic inches would be around 2899.4 feet tall.
Recreational maths with 42117893322624
- 42117893322624 backwards is 42622339871124
- 42117893322624 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42117893322624's digits is 54
- More coming soon!
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MLA style:
"Number 42117893322624 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 42117893322624 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/42117893322624/
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Numbermatics. 2024. "Number 42117893322624 - Facts about the integer". https://numbermatics.com/n/42117893322624/
The information we have on file for 42117893322624 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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